So, to start this out I should mention that I have read very few books when it comes to Mathematics, let alone Geometry. I think the total is precisely one. That one book would be Everything and More: A Brief History of Infinity, by David Foster Wallace. Now my reasons for reading this book in the first place may not have been purely mathematic. I just really liked David Foster Wallace as a writer, and I wanted to see what I knew that he also knew (which turned out to be very little). To get to the book; it's central focus was on Georg Cantor, who Wallace argues might be one of the most important mathematicians in the 19th Century. Cantor was the champion of Infinity. He proved that there are infinite infinities, and that some infinities are greater than other. Soon enough I will be able to describe this in better detail, because as of this post I don't possess the book, but once I get the book in my hands once again I will be able to give a more sensical and precise description of what it is and how it relates to Geometry, and, more importantly, our class.
Now, I'm going to be writing strictly about Everything and More, anyone is welcome to bring up any book that they see as important to discuss for the class.
Another author that the Geometries in the Real World people might want to look into is John Allen Paulos :: I recommend starting off with Innumeracy.
I really like the books by Leonard Mlodinow, especially the Drunkard's Walk which I read for Probability and he also has one called Euclid's Window, which is specifically about geometry.
Now, I'm going to be writing strictly about Everything and More, anyone is welcome to bring up any book that they see as important to discuss for the class.
Here's a link:
http://en.wikipedia.org/wiki/Everything_and_More_(book)
Another author that the Geometries in the Real World people might want to look into is John Allen Paulos :: I recommend starting off with Innumeracy.
I really like the books by Leonard Mlodinow, especially the Drunkard's Walk which I read for Probability and he also has one called Euclid's Window, which is specifically about geometry.